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Finding the Third Proportional to 759,431 and 1,068,089

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Solution

The third proportional to 759,431 and 1,068,089 is: 1,502,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,431 : 1,068,089 = 1,068,089 : x
  2. Step 2: Convert to fraction form
    759,431/1,068,089 = 1,068,089/x
  3. Step 3: Cross multiply
    759,431x = 1,068,089 × 1,068,089
  4. Step 4: Simplify right side
    759,431x = 1,140,814,111,921
  5. Step 5: Solve for x
    x = 1,140,814,111,921/759,431
  6. Step 6: Final answer
    x = 1,502,195.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.